y=(x^2-25)(x+2i)(x-2i)

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Solution for y=(x^2-25)(x+2i)(x-2i) equation:


Simplifying
y = (x2 + -25)(x + 2i)(x + -2i)

Reorder the terms:
y = (-25 + x2)(x + 2i)(x + -2i)

Reorder the terms:
y = (-25 + x2)(2i + x)(x + -2i)

Reorder the terms:
y = (-25 + x2)(2i + x)(-2i + x)

Multiply (-25 + x2) * (2i + x)
y = (-25(2i + x) + x2(2i + x))(-2i + x)
y = ((2i * -25 + x * -25) + x2(2i + x))(-2i + x)
y = ((-50i + -25x) + x2(2i + x))(-2i + x)
y = (-50i + -25x + (2i * x2 + x * x2))(-2i + x)
y = (-50i + -25x + (2ix2 + x3))(-2i + x)

Reorder the terms:
y = (-50i + 2ix2 + -25x + x3)(-2i + x)
y = (-50i + 2ix2 + -25x + x3)(-2i + x)

Multiply (-50i + 2ix2 + -25x + x3) * (-2i + x)
y = (-50i * (-2i + x) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x))
y = ((-2i * -50i + x * -50i) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x))

Reorder the terms:
y = ((-50ix + 100i2) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x))
y = ((-50ix + 100i2) + 2ix2 * (-2i + x) + -25x * (-2i + x) + x3(-2i + x))
y = (-50ix + 100i2 + (-2i * 2ix2 + x * 2ix2) + -25x * (-2i + x) + x3(-2i + x))

Reorder the terms:
y = (-50ix + 100i2 + (2ix3 + -4i2x2) + -25x * (-2i + x) + x3(-2i + x))
y = (-50ix + 100i2 + (2ix3 + -4i2x2) + -25x * (-2i + x) + x3(-2i + x))
y = (-50ix + 100i2 + 2ix3 + -4i2x2 + (-2i * -25x + x * -25x) + x3(-2i + x))
y = (-50ix + 100i2 + 2ix3 + -4i2x2 + (50ix + -25x2) + x3(-2i + x))
y = (-50ix + 100i2 + 2ix3 + -4i2x2 + 50ix + -25x2 + (-2i * x3 + x * x3))
y = (-50ix + 100i2 + 2ix3 + -4i2x2 + 50ix + -25x2 + (-2ix3 + x4))

Reorder the terms:
y = (-50ix + 50ix + 2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4)

Combine like terms: -50ix + 50ix = 0
y = (0 + 2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4)
y = (2ix3 + -2ix3 + 100i2 + -4i2x2 + -25x2 + x4)

Combine like terms: 2ix3 + -2ix3 = 0
y = (0 + 100i2 + -4i2x2 + -25x2 + x4)
y = (100i2 + -4i2x2 + -25x2 + x4)

Solving
y = 100i2 + -4i2x2 + -25x2 + x4

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 100i2 + -4i2x2 + -25x2 + x4

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